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arXiv · 1904.01539

Harmonic maps with free boundary from degenerating bordered Riemann surfaces

Lei Liu·Chong Song·Miaomiao Zhu
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Abstract

We study the blow-up analysis and qualitative behavior for a sequence of harmonic maps with free boundary from degenerating bordered Riemann surfaces with uniformly bounded energy. With the help of Pohozaev type constants associated to harmonic maps defined on degenerating collars, including vertical boundary collars and horizontal boundary collars, we establish a generalized energy identity.

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Lei Liu, Chong Song, Miaomiao Zhu. 2019-04-02. Harmonic maps with free boundary from degenerating bordered Riemann surfaces. https://arxiv.org/abs/1904.01539

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